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Finding the Third Proportional to 103,474,790.50 and 162,321,637.50

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Solution

The third proportional to 103,474,790.50 and 162,321,637.50 is: 254,635,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474,790.50 : 162,321,637.50 = 162,321,637.50 : x
  2. Step 2: Convert to fraction form
    103,474,790.50/162,321,637.50 = 162,321,637.50/x
  3. Step 3: Cross multiply
    103,474,790.50x = 162,321,637.50 × 162,321,637.50
  4. Step 4: Simplify right side
    103,474,790.50x = 26,348,314,000,681,408
  5. Step 5: Solve for x
    x = 26,348,314,000,681,408/103,474,790.50
  6. Step 6: Final answer
    x = 254,635,103.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.